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Finding the Fourth Proportional to 9,421.32, 13,000.53 and 5,441.90

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Solution

The fourth proportional to 9,421.32, 13,000.53 and 5,441.90 is: 7,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.32 : 13,000.53 = 5,441.90 : x
  2. Step 2: Convert to fraction form
    9,421.32/13,000.53 = 5,441.90/x
  3. Step 3: Cross multiply
    9,421.32x = 13,000.53 × 5,441.90
  4. Step 4: Simplify right side
    9,421.32x = 70,747,539.61
  5. Step 5: Solve for x
    x = 70,747,539.61/9,421.32
  6. Step 6: Final answer
    x = 7,509.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.